Skip to main content
SpringerLink
Log in
Book cover

Wireless Network Design pp 101–125Cite as

Mathematical Programming Models for Third Generation Wireless Network Design

  • Chapter
  • First Online:

Part of the book series: International Series in Operations Research & Management Science ((ISOR,volume 158))

Abstract

This chapter develops a series of optimization models for third-generation (3G) cellular network design leading up to a comprehensive model including the selection of base stations and mobile telephone switching office (MTSO) locations, and the assignment of mobiles to base stations. The models also consider the design of a backbone network connecting the base stations, MTSOs, and public switched telephone network (PSTN) gateways. These models take as input demand for cellular service in a given planning area, a set of candidate tower and MTSO locations with corresponding costs, costs for provisioning links between the candidate tower and MTSO locations as well as costs for linking the MTSOs to PSTN gateway nodes. Based on these inputs and propagation data for the planning area, the comprehensive model can be used to determine the optimal selection of radio towers, MTSO locations, backbone network topology, and the service capacity of the resulting radio network. For problem instances of practical interest, the model leads to large, difficult integer programs that require special solution techniques. Nevertheless, researchers have reported finding high-quality solutions, in reasonable amounts of CPU time, to problems with hundreds of candidate tower locations supporting tens of thousands of simultaneous cellular phone sessions. This chapter surveys strategies that have been developed to achieve these results.

This is a preview of subscription content, log in via an institution.

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References(Ch-5)

  1. Ahuja, R.K., Magnanti, T.L., Orlin, J.B.: Network Flows: Theory, Algorithms, and Applications. Prentice Hall, Upper Saddle River, NJ (1993)

    Google Scholar 

  2. Amaldi, E., Capone, A., Malucelli, F.: Base station configuration and location problems in UMTS networks. In: Proceedings of the 9th International Conference on Telecommunication Systems - Modeling and Analysis, pp. 341–348 (2001)

    Google Scholar 

  3. Amaldi, E., Capone, A., Malucelli, F.: Discrete models and algorithms for the capacitated location problems arising in UMTS network planning. In: Proceedings of the 5th International Workshop on Discrete Algorithms and Methods for Mobile Computing and Communications, pp. 1–8. ACM (2001)

    Google Scholar 

  4. Amaldi, E., Capone, A., Malucelli, F.: Improved models and algorithms for UMTS radio planning. In: IEEE 54th Vehicular Technology Conference Proceedings, vol. 2, pp. 920–924. IEEE (2001)

    Google Scholar 

  5. Amaldi, E., Capone, A., Malucelli, F.: Optimizing base station siting in UMTS networks. In: IEEE 53rd Vehicular Technology Conference Proceedings, vol. 4, pp. 2828–2832. IEEE (2001)

    Google Scholar 

  6. Amaldi, E., Capone, A., Malucelli, F.: Optimization models and algorithms for downlink UMTS radio planning. In: Proceedings of the IEEE Wireless Communications and Networking Conference, vol. 2, pp. 827–8731. IEEE (2003)

    Google Scholar 

  7. Amaldi, E., Capone, A., Malucelli, F.: Planning UMTS base station location: Optimization models with power control algorithms. IEEE Transactions on Wireless Communications 2, 939–952 (2003)

    Article  Google Scholar 

  8. Amaldi, E., Capone, A., Malucelli, F., Signori, F.: A mathematical programming approach for W-CDMA radio planning with uplink and downlink constraints. In: IEEE 58th Vehicular Technology Conference Proceedings, vol. 2, pp. 806–810. IEEE (2003)

    Google Scholar 

  9. Amzallag, D.: Approximation algorithms for optimization problems in future cellular networks. Ph.D. thesis, Technion - Israel Institute of Technology, Haifa 32000, Israel (2008)

    Google Scholar 

  10. Averbakh, I.: On the complexity of a class of combinatorial optimization problems with uncertainty. Mathematical Programming Series A 90, 263–272 (2001)

    Article  Google Scholar 

  11. Ben-Tal, A., Nemirovski, A.: Robust convex optimization. Mathematics of Operations Research 23, 769–805 (1998)

    Article  Google Scholar 

  12. Ben-Tal, A., Nemirovski, A.: Robust solutions of linear programming problems contaminated with uncertain data. Mathematical Programming Series A 88, 411–424 (2000)

    Article  Google Scholar 

  13. Bienstock, D., D’Andreagiovanni, F.: Robust wireless network planning. In: Proceedings of the XL Annual Conference of the Italian Operational Research Society (AIRO2009), Siena, Italy (2009)

    Google Scholar 

  14. Birkan, G., Kennington, J., Olinick, E., Ortynski, A., Spiride, G.: Making a case for using integer programming to design DWDM networks. Optical Networks Magazine 4, 107–120 (2003)

    Google Scholar 

  15. Cai, Q.: Optimization-based design tools forW-CDMA cellular networks. Ph.D. thesis, Southern Methodist University (2006)

    Google Scholar 

  16. Cai, Q., Kalvenes, J., Kennington, J., Olinick, E.: Reliable W-CDMA network design. Tech. Rep., Department of Engineering Management, Information, and Systems, Bobby B. Lyle School of Engineering, Southern Methodist University, Dallas, TX (2006). http://lyle.smu.edu/ jlk/cdmarely.pdf

  17. Cai, Q., Kalvenes, J., Kennington, J., Olinick, E.: W-CDMA network design. International Journal of Mobile Newtork Design and Innovation 2(2), 92–104 (2007)

    Article  Google Scholar 

  18. D’Andreagiovanni, F.: Pure 0-1 programming approaches to wireless network design. Ph.D. thesis, Sapienza Università di Roma (2009)

    Google Scholar 

  19. D’Andreagiovanni, F., Mannino, C., Sassano, A.: A power-indexed formulation for wireless network design. Tech. Rep. 14-2009, Department of Computer and System Sciences, Sapienza Universit`a di Roma (2009). http://ojs.uniroma1.it/index.php/DIS TechnicalReports/article/viewFile/8855/8826

  20. Eisenblätter, A., Fügenschuh, A., Fledderus, E.R., Geerdes, H.F., Heideck, B., Junglas, D., Koch, T., Kürner, T., Martin, A.: Mathematical methods for automatic optimization of UMTS radio networks. Tech. Rep. D4.3, IST-2000-28088 MOMENTUM (2003). URL http://momentum.zib.de/paper/momentum-d43.pdf

  21. Eisenblätter, A., Fügenschuh, A., Koch, T., Koster, A.M.C.A., Martin, A., Pfender, T., Wegel, O., Wessäly, R.: Modelling feasible network configurations for UMTS. In: G. Anandalingam, S. Raghavan (eds.) Telecommunications Network Design and Managment, pp. 1–23. Kluwer Academic Publishers, Dordrecht, The Netherlands (2003)

    Google Scholar 

  22. Eswaran, K., Trajan, R.: Augmentation problems. SIAM Journal on Computing 5(4), 653–660 (1976)

    Article  Google Scholar 

  23. FCC: Construction/coverage requirements. http://wireless.fcc.gov/licensing/index.htm?job=const req by service. Accessed on June 14, 2010

  24. Fortz, B., Labbé, M., Maffioli, F.: Solving the two-connected network with bounded meshes problem. Operations Research 48, 866–877 (2000)

    Article  Google Scholar 

  25. Garey, M., Johnson, D.: Computers and Intractability: A Guide to the Theory of NPCompleteness. W. H. Freeman, San Francisco, CA (1979)

    Google Scholar 

  26. Glover, F.: Tabu search, Part I. ORSA Journal on Computing 1(3), 190–206 (1989)

    Google Scholar 

  27. Glover, F.: Tabu search, Part II. ORSA Journal on Computing 2(1), 4–32 (1990)

    Google Scholar 

  28. Grötschel, M., Monma, C., Stoer, M.: Computational results with a cutting plane algorithm for designing communication networks with low-connectivity constraints. Operations Research 40, 309–330 (1992)

    Article  Google Scholar 

  29. Grötschel, M., Monma, C., Stoer, M.: Design of survivable networks. In: Handbooks in OR/MS, vol. 8, chap. 10, pp. 617–672. North-Holland, Amsterdam, The Netherlands (1995)

    Google Scholar 

  30. Gryseels, M., Sorbello, L., Demeester, P.: Network planning in uncertain dynamic environments. In: Networks 2000, 9th International Telecommunication Network Planning Symposium (2000).

    Google Scholar 

  31. Hata, M.: Empirical formula for propagation loss in land mobile radio service. IEEE Transactions on Vehicular Technology 29, 317–325 (1980)

    Article  Google Scholar 

  32. J. Blazewicz, P.L., Milostan, M.: Application of tabu search strategy for finding low energy structure of protien. Artificial Intelligence in Medicine 35, 135–145 (2005)

    Article  Google Scholar 

  33. Kalvenes, J., Kennington, J., Olinick, E.: Hierarchical cellular network design with channel allocation. European Journal of Operational Research 160(1), 3–18 (2005).

    Article  Google Scholar 

  34. Kalvenes, J., Kennington, J., Olinick, E.: Base station location and service assignments in W-CDMA networks. INFORMS Journal on Computing 18(3), 366–376 (2006)

    Article  Google Scholar 

  35. Kennington, J., Lewis, K., Olinick, E., Ortynski, A., Spiride, G.: Robust solutions for the WDMrouting and provisioning problem: models and algorithms. Optical Networks Magazine 4, 74–84 (2003)

    Google Scholar 

  36. Khuller, S.: Approximation algorithms for finding highly connected subgraphs. In: D. Hochbaum (ed.) Approximation Algorithms for NP-Hard Problems, pp. 236–265. PWS Publishing Company, Boston, MA (1997)

    Google Scholar 

  37. Kouvelis, P., Yu, G.: Robust Discrete Optimization and Its Applications. Kluwer Academic Publishers, Dordrecht, The Netherlands (1997)

    Google Scholar 

  38. Laguna, M.: Applying robust optimization to capacity expansion of one location in telecommunications with demand uncertainty. Management Science 44, 5101–5110 (1998)

    Article  Google Scholar 

  39. Lee, J., Miller, L.E.: CDMA Systems Engineering Handbook. Artech House Publisher, Boston, MA (1998)

    Google Scholar 

  40. Li, J., Kameda, H., Itoh, H.: Balanced assignment of cells in PCS networks. In: SAC’97: Proceedings of the 1997 ACM symposium on Applied computing, pp. 297–301. ACM, New York, NY, USA (1997).

    Chapter  Google Scholar 

  41. Mannino, C., Mattia, S., Sassano, A.: Planning wireless networks by shortest path. Computational Optimization and Applications (2009). Published online at http://dx.doi.org/10.1007/s10589-009-9264-3

  42. Mathar, R., Niessen, T.: Optimum positioning of base stations for cellular radio networks. Wireless Networks 6, 421–428 (2000)

    Article  Google Scholar 

  43. Merchant, A., Sengupta, B.: Assignment of cells to switches in PCS networks. ACM/IEEE Transactions on Networking 3, 521–526 (1995)

    Article  Google Scholar 

  44. Mobiledea: Mobile telephone switching office (MTSO). http://www.mobiledia.com/glossary/166.html. Accessed on June 14, 2010

  45. Mulvey, J.M., Vanderbei, R.J., Zenios, S.A.: Robust optimization of large-scale systems. Operations Research 43, 264–281 (1995)

    Article  Google Scholar 

  46. Murphey, R., Pardalos, P., Resende, G.: Frequency assignment problems. In: D. Zu, P. Pardalos (eds.) Handbook of Combinatorial Optimization, pp. 1–55. Kluwer Academic Publishers (1999)

    Google Scholar 

  47. Nemhauser, G.L., Wolsey, L.A.: Integer and Combinatorial Optimization. JohnWiley & Sons, New York (1999)

    Google Scholar 

  48. Olinick, E., Rosenberger, J.: Optimizing revenue in CDMA networks under demand uncertainty. European Journal of Operational Research 186(2), 812 – 825 (2008).

    Article  Google Scholar 

  49. Paraskevopoulos, D., Karakitsos, E., Rustem, R.: Robust capacity planning under uncertainty. Management Science 37, 787–800 (1991)

    Article  Google Scholar 

  50. Philpott, A.: Stochastic programming introduction. http://stoprog.org/index.html?spintroduction.html. Accessed on June 21, 2010

  51. Rajan, D., Olinick, E., Venkateswaran, J.: A unified optimization framework for design of CDMA cellular networks with uplink and downlink rate guarantees. Tech. Rep. 10-EMIS-04, Department of Engineering Management, Information, and Systems, Bobby B. Lyle School of Engineering, Southern Methodist University, Dallas, TX (2010)

    Google Scholar 

  52. Rosenberger, J., Olinick, E.: Robust tower location for code devision multiple access networks. Naval Research Logistics 54(2), 151–161 (2007)

    Article  Google Scholar 

  53. Sherali, H.D., Pendyala, C.M., Rappaport, T.S.: Optimal location of transmitters for microcellular radio communication system design. IEEE Journal on Selected Areas in Communications 14(4), 662–673 (1996)

    Article  Google Scholar 

  54. Soteriou, A., Chase, R.: A robust optimization approach to improving service quality. Manufacturing and Service Operations Management 2, 264–286 (2000)

    Article  Google Scholar 

  55. St-Hilaire, M., Chamberland, S., Pierre, S.: Uplink UMTS network design–an integrated approach. Computer Networks 50, 2747–2761 (2006)

    Article  Google Scholar 

  56. TopBits.com: MTSO mobile telephone switching office. http://www.topbits.com/mtsomobile-telephone-switching-office.html. Accessed on June 14, 2010

  57. Yates, R.: A framework for uplink power control in cellular radio systems. IEEE Journal on Select Areas in Communications 13, 1341–1348 (1995)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Engineering Management, Information, and Systems, Bobby B. Lyle School of Engineering, Southern Methodist University, Dallas, TX, 75275-0123, USA

    Eli Olinick

Authors
  1. Eli Olinick
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Eli Olinick .

Editor information

Editors and Affiliations

  1. Bobby B. Lyle School of Engineering, Dept. Engineering Management,, Southern Methodist University, Dallas, 75205, Texas, USA

    Jeff Kennington

  2. Bobby B. Lyle School of Engineering, Dept. Engineering Management,, Southern Methodist University, Dallas, 75205, Texas, USA

    Eli Olinick

  3. Bobby B. Lyle School of Engineering, Dept. Electrical Engineering, Southern Methodist University, Dallas, Texas, USA

    Dinesh Rajan

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer New York

About this chapter

Cite this chapter

Olinick, E. (2011). Mathematical Programming Models for Third Generation Wireless Network Design. In: Kennington, J., Olinick, E., Rajan, D. (eds) Wireless Network Design. International Series in Operations Research & Management Science, vol 158. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-6111-2_5

Download citation

Publish with us

Policies and ethics

Search

Navigation